A basket contains 3 mangoes and 3 apples. If | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Total number of fruits = $3$ (mangoes) + $3$ (apples) = $6$ fruits. We need to select $2$ fruits out of $6$. The total number of ways to select $2

Vedclass · Accepted Answer

$3/5$

Vedclass · Answer

(B) Total number of fruits = $3$ (mangoes) + $3$ (apples) = $6$ fruits. We need to select $2$ fruits out of $6$. The total number of ways to select $2$ fruits is given by $^6C_2 = \frac{6 	imes 5}{2 	imes 1} = 15$. We want to select $1$ mango out of $3$ and $1$ apple out of $3$. The number of favorable ways is $^3C_1 	imes ^3C_1 = 3 	imes 3 = 9$. The probability $P$ is given by $\frac{	ext{Favorable outcomes}}{	ext{Total outcomes}} = \frac{9}{15} = \frac{3}{5}$.

$A$ basket contains $3$ mangoes and $3$ apples. If two fruits are selected at random,what is the probability of getting one mango and one apple?

Similar Questions

$A$ bag contains $6$ white,$7$ red,and $5$ black balls. If $3$ balls are drawn from the bag at random,then the probability that all of them are white is

If two numbers are chosen at random from $1, 2, 3, \dots, 100$ and multiplied,what is the probability that the product is divisible by $3$?

$3$ letters are placed randomly into $3$ envelopes. What is the probability that exactly one letter is placed in the correct envelope?

$5$ boys and $5$ girls are sitting in a row randomly. The probability that boys and girls sit alternatively is

Five horses are in a race. $Mr. A$ selects two of the horses at random and bets on them. The probability that $Mr. A$ selected the winning horse is

Vedclass Test Series

Exam Paper Generator

Online Exam Module